Question

How do I solve the absolute value equation 4|3x=5|+2=10 ?

Answer 1

subtract 2 from both sides

Answer 2

4|3x+5|=8 ? Do I multiply by 4?

Answer 3

or subtract it from both sides?

Answer 4

If on the left side you have addition, you need to subtract.
When you have multiplication, what would you need to do?

Answer 5

so u divide by 4 on both sides.

Answer 6

how do I divide 3x+5 by 4?

Answer 7

You have 4|3x+5|=8. When you divide both sides by 4, what happens to the 4 on the left side. The one infront of the abs value.

Answer 8

It cancels out? But still

Answer 9

It does, you are correct. So now you are left with\[\left| 3x+5 \right|=2\]Now do you know how to solve this?

Answer 10

Ohhh yes! thank you!